<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12
</span>the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228
Answer: n=p/2-m
Step-by-step explanation:
m=p/2-n (1)
Add n to both sides of the equation (1)
m+n=p/2-n+n => m+n=p/2 (2)
Subtract m from both sides of the equation (2)
m-m+n=p/2-m => n=p/2-m
Answer:
$1.82 per cup
Step-by-step explanation:
REMEMBER:16cups per gallon
2 x 16 = 32
58.24 divided by 32 = 1.82